Sum factorization of the static condensed Helmholtz equation in a three-dimensional spectral element discretization |
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| Authors: | Immo Huismann Lars Haupt Jörg Stiller Jochen Fröhlich |
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| Institution: | 1. Center for Advancing Electronics Dresden, Technische Universität Dresden, 01062 Dresden, Germany;2. Zentrum für Informationsdienste und Hochleistungsrechnen (ZIH), Technische Universität Dresden, 01062 Dresden, Germany;3. Institut für Strömungsmechanik, Technische Universität Dresden, George-Bähr-Str. 3c, 01062 Dresden, Germany |
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| Abstract: | We propose a factorization technique for the Helmholtz operator of a static condensed, three-dimensional, cartesian spectral-element discretization, that yields linear complexity in the number of degrees of freedom. We then compare its performance to a reference implementation of the conventional, unfactorized approach. (© 2014 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim) |
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